平面応力状態にある弾性岩盤の内部にある複数空孔周囲の応力分布について
1971 年 87 巻 1004 号 p. 739-743
詳細
1971 年 87 巻 1004 号 p. 739-743
The stress distribution around multiple holes (N number of holes) in an infinitely wide plate was studied theoreticaly by using the complex stress functions of complex variables zk (k=1, 2, …N).
The complex stress functions are assumed to be an algebrical sum of infinite series which are made up of a minus power of zk whose origin is the center of each hole.
Transforming the co-ordinate of this stress function into a particular zj co-ordinate system in which the given boundary conditions can be applied, then unknown coefficients of the complex stress functions are determined by solving the simultaneous linear equations of infinite unknowns.
As a particular case, the stress distributions in an infinite plate under mono-axial stress containing three equal size circular holes equally spaced in a row are computed and their results are compared with those of Dr. A. E. Green's solution. Fairly good agreements were found between them and the present solution.
Moreover the results computed for three different radiuscircle in a row are shown and lastly some comparisons are made between the results of our solution and those of photo-elastic fringe patterns.
